Weitere Informationen zum ausgewählten Vortrag

Deformations of Hilbert schemes of points via derived categories

Pieter Belmans (Bonn)

Freitag, 13. Dezember 2019 10:30Uhr

Hilbert schemes of points on surfaces, and Hilbert squares of higher-dimensional varieties, are important and basic constructions of moduli spaces of sheaves. As such they provide a class of interesting yet tractable varieties. In a joint work with Lie Fu and Theo Raedschelders, we explain how one can (re)prove results about their deformation theory by studying their derived categories, via fully faithful functors and Hochschild cohomology, which describes both classical and noncommutative deformations.